Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
Affine, Euclidean, and Cartesian geometry
Real vector spaces
bj-rvecsscmod
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bj-rvecsscvec
Metamath Proof Explorer
Ascii
Structured
Theorem
bj-rvecsscmod
Description:
Real vector spaces are subcomplex modules.
(Contributed by
BJ
, 6-Jan-2024)
Ref
Expression
Assertion
bj-rvecsscmod
⊢
ℝ-Vec ⊆ ℂMod
Proof
Step
Hyp
Ref
Expression
1
bj-rveccmod
⊢
(
𝑥
∈ ℝ-Vec →
𝑥
∈ ℂMod )
2
1
ssriv
⊢
ℝ-Vec ⊆ ℂMod